Atkin-Lehner |
2+ 3+ 7+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113274d |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-12547337419008 = -1 · 28 · 33 · 74 · 293 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -3 -2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8463,346861] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:737:1] [-66:817:1] |
Generators of the group modulo torsion |
j |
-2482914907431531/464716200704 |
j-invariant |
L |
6.8056445915257 |
L(r)(E,1)/r! |
Ω |
0.68296968663882 |
Real period |
R |
0.41519928340286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113274ba1 |
Quadratic twists by: -3 |